Search a number
-
+
2159539200 = 2103252713103
BaseRepresentation
bin1000000010110111…
…1111010000000000
312120111112221212100
42000231333100000
513410320223300
6554142230400
7104341531440
oct20055772000
95514487770
102159539200
11a09004845
12503285400
13285536160
14166b48120
15c98c8700
hex80b7f400

2159539200 has 792 divisors, whose sum is σ = 9608912768. Its totient is φ = 451215360.

The previous prime is 2159539199. The next prime is 2159539229. The reversal of 2159539200 is 29359512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20966349 + ... + 20966451.

Almost surely, 22159539200 is an apocalyptic number.

2159539200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2159539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804456384).

2159539200 is an abundant number, since it is smaller than the sum of its proper divisors (7449373568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2159539200 is a wasteful number, since it uses less digits than its factorization.

2159539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 2159539200 is about 46470.8424713820. The cubic root of 2159539200 is about 1292.5688849349.

The spelling of 2159539200 in words is "two billion, one hundred fifty-nine million, five hundred thirty-nine thousand, two hundred".